Riemann Hypothesis AI Research Starting Point v0.1

The true starting point of the entire research line — a line-by-line cleanup of four old manuscripts written by Neo.K (two versions of "Riemann Hypothesis Thought Experiment 3.0", "Observer Dimensionality Theory of Analytic Continuation", and "Dynamic Projection Experiment"): categorizing them into "known classical results", "reproducible numerical calculations", "valuable research intuitions", and "overclaims and circular reasoning", explicitly listing the author's own past reasoning errors (the unique optimal observation angle, scanning β to find β=1/2, coordinate distortion generating new information, etc.) as content that must be deleted or downgraded.

Non-proof, non-theorem declaration, non-claim of the Riemann Hypothesis being true — The "Explicit Status" field at the beginning of the main document in the package self-reports, reproduced here as-is: "This document does only four things: preserves the original intent of the research, organizes known and verifiable mathematical anchor points, downgrades unestablished statements into falsifiable research hypotheses, and establishes a research state that can be jointly advanced by AI and computation."

Connections

Regarding the relationship with other packages, try to use the words from its own documents, not my interpretation. The original research concepts all come from four old drafts by Neo.K himself; the research reconstruction and methodological arrangement of this round were completed by Aletheia (GPT-5.6 Thinking) — this is the first time this named division of labor has appeared in this entire research line.

Next VersionResearch Starting Point v0.2 · GAP-ification

Research Starting Point Series1 / 23

"The new research starting point is not: we are close to proving RH, but rather: we have established a research environment that does not allow false proofs to survive. This environment can now be handed over to AI for long-term iteration. Its standard of success is not producing longer narratives, but reducing undefined concepts, circular dependencies, numerical metrics without causal links, unfillable bridges, and hypotheses that have not been actively attacked, round by round." — Excerpt from Section 13, "Current Conclusions", of the main document in this package.

Cleanup Comparison of Four Sources

Lists the specific content to be retained, downgraded, corrected, or removed for each old manuscript — including records where the author's own past claims (unique optimal observation angle, β=1/2 peak as proof, loss of Euler product as contradiction, etc.) are explicitly marked for removal, as well as "anti-regression rules" for future versions: which statements must automatically trigger an audit if they appear.

Full Text of Research Draft

Known mathematical anchors (current status of RH, Euler product domain, functional equation, known bounds of the de Bruijn–Newman constant 0≤Λ≤0.2, rigorous verification up to finite height), retainable computational tools, eight classes of reasoning errors that must be deleted or downgraded, reconstruction of observation framework research hypotheses, falsifiable bridges and research graphs, AI research agent specifications, and phase one execution sequence.

Core Computation Verification Snapshot

Jacobi theta transformation, Mellin–theta representation, non-multiplicativity of logarithmic Gaussian weights, argument principle counting, and 50-digit precision regression tests, included as is.

Files

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